Atkin-Lehner |
3- 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18105h |
Isogeny class |
Conductor |
18105 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
73472 |
Modular degree for the optimal curve |
Δ |
-10517590546875 = -1 · 38 · 57 · 172 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 0 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18060,941114] |
[a1,a2,a3,a4,a6] |
Generators |
[336:-5738:1] |
Generators of the group modulo torsion |
j |
-651479864163291136/10517590546875 |
j-invariant |
L |
3.1089742898321 |
L(r)(E,1)/r! |
Ω |
0.72330362093343 |
Real period |
R |
0.038377658030435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54315f1 90525e1 |
Quadratic twists by: -3 5 |